SOLUTION: Can you please help me solve this? I have to rationalize (the square root of 5) over (the square root of 5)-(1)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Can you please help me solve this? I have to rationalize (the square root of 5) over (the square root of 5)-(1)      Log On


   

Question 190860: Can you please help me solve this? I have to rationalize (the square root of 5) over (the square root of 5)-(1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%285%29%29%2F%28sqrt%285%29-1%29 Start with the given expression


%28sqrt%285%29%28sqrt%285%29%2B1%29%29%2F%28%28sqrt%285%29-1%29%28sqrt%285%29%2B1%29%29 Multiply both the numerator and the denominator by sqrt%285%29%2B1


%28sqrt%285%29%28sqrt%285%29%2B1%29%29%2F%28%28sqrt%285%29%29%5E2-%281%29%5E2%29 FOIL the denominator using the difference of squares formula


%28sqrt%285%29%28sqrt%285%29%2B1%29%29%2F%285-1%29 Square each term


%28sqrt%285%29%28sqrt%285%29%2B1%29%29%2F%284%29 Combine like terms.


%28sqrt%285%29%2Asqrt%285%29%2B1%2Asqrt%285%29%29%2F%284%29 Distribute


%285%2Bsqrt%285%29%29%2F%284%29 Multiply


So %28sqrt%285%29%29%2F%28sqrt%285%29-1%29=%285%2Bsqrt%285%29%29%2F%284%29